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Stochastic comparisons of coherent systems under different random environments

Part of: Distribution theory - Probability Operations research and management science Special processes

Published online by Cambridge University Press:  26 July 2018

Ebrahim Amini-Seresht ,
Yiying Zhang  and
Narayanaswamy Balakrishnan
Ebrahim Amini-Seresht*
Affiliation:
Bu-Ali Sina University
Yiying Zhang*
Affiliation:
The University of Hong Kong
Narayanaswamy Balakrishnan*
Affiliation:
McMaster University
*
* Postal address: Department of Statistics, Bu-Ali Sina University, Hamedan, Iran.
** Postal address: Department of Statistics and Actuarial Science, The University of Hong Kong, Pokfulam Road, Hong Kong. Email address: [email protected]
*** Postal address: Department of Mathematics and Statistics, McMaster University, Hamilton, ON L85 4K1, Canada.
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Abstract

For many practical situations in reliability engineering, components in the system are usually dependent since they generally work in a collaborative environment. In this paper we build sufficient conditions for comparing two coherent systems under different random environments in the sense of the usual stochastic, hazard rate, reversed hazard rate, and likelihood ratio orders. Applications and numerical examples are provided to illustrate all the theoretical results established here.

Keywords

Coherent systemrandom environmentstochastic orderdistortion functiondependent component

MSC classification

Primary: 90B25: Reliability, availability, maintenance, inspection
Secondary: 60E15: Inequalities; stochastic orderings 60K10: Applications (reliability, demand theory, etc.)
Type
Research Papers
Information
Journal of Applied Probability , Volume 55 , Issue 2 , June 2018 , pp. 459 - 472
Copyright
Copyright © Applied Probability Trust 2018 

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